A stochastic averaging method on the strongly nonlinear Duffing-Rayleigh oscillator under Gaussian colored noise excitation

Journal of Vibroengineering

卷:18

Qian Gao¹  Gen Ge²  JinJuan Duan²  ZePeng Li² 

[1] School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin, P. R. China;

[2] School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, P. R. China;

关键词: stochastic averaging method;    Gaussian colored noise;    He’s energy balance method;   

DOI  :  10.21595/jve.2016.17011

来源: DOAJ

【 摘 要 】

A modified stochastic averaging method on a Duffing-Rayleigh oscillator with strongly nonlinearity subject to Gaussian colored noise excitation was proposed. The so-called He’s energy balance method was applied to obtain the averaged frequency of the conservative system. Subsequently, the stochastic averaging method of strong nonlinearity was used. The modified method can offer more concise approximate expressions of the drift and diffusion coefficients without weakening the accuracy of predicting the responses of the systems too much. The stationary responses of probability density of amplitudes, together with joint probability density of displacement and velocity are studied to verify the presented approach. The reliability of the systems was also investigated to offer further support. Digital simulations were carried out and the output of that are coincide with the theoretical approximations well.

【 授权许可】

Unknown